Coupling constant behavior of eigenvalues of Zakharov-Shabat systems

DOI10.1063/1.2815810zbMath1153.81387OpenAlexW2018338710MaRDI QIDQ3544553

Boris S. Mityagin, Martin Klaus

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10919/25121

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (5)

Krein signatures for the Faddeev-Takhtajan eigenvalue problem ⋮ Eigenvalue asymptotics for Zakharov-Shabat systems with long-range potentials ⋮ Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions ⋮ Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions ⋮ Wave operators for the matrix Zakharov–Shabat system

Cites Work

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• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• Variationally obtained approximate eigenvalues of the Zakharov-Shabat scattering problem for real potentials.
• On the Eigenvalues of Zakharov--Shabat Systems
• Addition to pólya's theorem on zeros of fourier sine-transforms
• On the generation of solitons and breathers in the modified Korteweg–de Vries equation

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